JP Journal of Heat and Mass Transfer
Volume 15, Issue 1, Pages 125 - 135
(February 2018) http://dx.doi.org/10.17654/HM015010125 |
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DIFFUSION IN A TEMPORALLY SHRINKABLE MEDIUM
Edi Cahyono, Syech Muh. Syam Abdullah, Yudi Soeharyadi, La Gubu and Masykur Kimsan
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Abstract: Some media often show shrinkage when the mass inside diffuses, such as wood, soil, clay and concrete. Shrinkage is responsible for developing cracks on clay, wood and concrete during the drying process. This paper is intended to understand the shrinkage better, so the defects of materials during and after the drying process can be avoided. A mathematical model of temporally shrinkable medium based on macro scale modeling is discussed. The model is in the form of an integral equation. This model does not allow the shrinkage process to reverse, as the case for concretes and clays after baking. The model is solved numerically by applying a finite difference method. The limiting case of non-shrinkable medium is presented. In this limiting case, the model is just a diffusion equation, and the numerical method is a standard finite difference method. |
Keywords and phrases: diffusion equation, finite difference method, integral equation, shrinkage, shrinkable medium. |
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